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Finding the Third Proportional to 262,936 and 575,626

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Solution

The third proportional to 262,936 and 575,626 is: 1,260,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,936 : 575,626 = 575,626 : x
  2. Step 2: Convert to fraction form
    262,936/575,626 = 575,626/x
  3. Step 3: Cross multiply
    262,936x = 575,626 × 575,626
  4. Step 4: Simplify right side
    262,936x = 331,345,291,876
  5. Step 5: Solve for x
    x = 331,345,291,876/262,936
  6. Step 6: Final answer
    x = 1,260,174.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.